Question

An angle measures 106° less than the measure of its supplementary angle. What is the measure of each angle

Answer 1

143 degrees, 37 degrees

Explanation:

Let's say the angle is x and the supplementary angle is x-106:

x + (x-106) = 180 ==> supplementary angles add up to 180 degrees

x + x - 106 = 180

2x - 106 = 180

2x = 286 ==> isolate x by adding 106 to both sides

x = 143 ==> divide 2 on both sides

x-106=

143-106 = 37

Answer: 143 degrees, 37 degrees